| 无网格伽辽金法求解平面偶应力问题 |
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| 引用本文： | 杨海天,何宜谦,陈国胜.无网格伽辽金法求解平面偶应力问题[J].计算力学学报,2010,27(4):590-595. |
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| 作者姓名： | 杨海天 何宜谦 陈国胜 |
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| 作者单位： | 1. 大连理工大学,工业装备结构分析国家重点实验室,工程力学系,大连,116024
2. 上海交通大学,船舶海洋与建筑工程学院,海洋工程国家重点实验室,上海,200030 |
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| 基金项目： | 国家自然科学基金，973项目，辽宁省中青年学术带头人基金资助项目 |
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| 摘 要： | 提出采用无网格伽辽金法(EFGM)求解偶应力问题,以避免有限元求解中因C1连续要求可能引起的不便。推导了基于二次基和移动最小二乘技术的EFGM计算公式,通过计算受轴向均匀拉伸的带中心小孔无限大板和细长杆的偶应力问题,对所提方法进行了数值验证,与解析解相比结果令人满意,此外还讨论了节点密度和权函数对计算结果的影响。数值结果表明,所提算法可有效地求解平面偶应力问题。
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| 关 键 词： | 偶应力 无网格伽辽金法 移动最小二乘 C1连续 |
| 收稿时间： | 2008/10/27 0:00:00 |
Solving couple-stress problem via element-free Galerkin method |
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| YANG Hai-tian,HE Yi-qian and CHEN Guo-sheng.Solving couple-stress problem via element-free Galerkin method[J].Chinese Journal of Computational Mechanics,2010,27(4):590-595. |
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| Authors: | YANG Hai-tian HE Yi-qian and CHEN Guo-sheng |
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| Institution: | State Key Lab. of Structural Analysis for Industrial Equipment, Dept of Engineering Mechanics, Dalian University of Technology,Dalian 116024,China;State Key Lab. of Structural Analysis for Industrial Equipment, Dept of Engineering Mechanics, Dalian University of Technology,Dalian 116024,China;School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University,Shanghai 200030, China |
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| Abstract: | This paper suggests modeling couple-stress problem via element-free Galerkin method (EFGM), so as to avoid the inconvenience that may be caused by C1 continuity requirement in the implementation of FEM. A quadratic basis and moving least squares (MLS) technique based EFG formula is derived. Numerical verification is provided via an infinite plane with a small hole and a long strip subjected to uniform extensions. In comparison with analytical solutions, the results are satisfactory. In addition, the impacts of node density and weight function on the solutions are discussed. The computational results indicate the proposed model is available for solving couple stress problems. |
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| Keywords: | couple stress element-free Galerkin method moving least squares C1 continuity |
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